I suspect that most readers will, like me, be unfamiliar with the concept of chirality. Indeed I had never heard of the term before reading Dahlen’s paper proposing the completely novel concept of...

Kramers's equation specialized to the Coulomb field is factored using a rotationally invariant, angular momentum based, algebra of three anticommuting operators. Comparing the explicit chiral two-component solutions for the factored equation to the two-component solutions defined by the Foldy-Wouthuysen series for the Dirac-Coulomb Hamiltonian, it is concluded that this series cannot converge.

The measure of the chiral system inertia has been suggested as a reciprocal value of degree of chirality. Three main laws of conservation, evolution, and interaction of chiral systems in the inertial space are formulated. Some of the consequences concerning the interaction of the chiral elements could be used to estimate the degree of chirality of complex chiral systems.

Le chiasme de l’être: une exploration de l’ontologie du sens de Merleau-PontyLa question de l’ontologie inclut celle de savoir comment un être se détermine et acquiert son sens, autrement dit comment il instaure sa différenciation par desorientations, des significations et des différences en général. Cette étude explore l’idée que le sens d’un être provient d’une « chiralité ontologique », c’est-à-dire d’un type de différence ontologique présentant un apparentement caractéristique de ses deux côtés droit et gauche. L’étude montre tout d’abord comment (...) l’ontologie merleau-pontienne de la réversibilité conduit à la question de la chiralité. On fait ensuite entrer dans la discussion des résultats obtenus dans les domaines de la chimie, de la biologie et de la géométrie, pour mieux mettre en lumière l’importance des différences en chiralité et pour élaborer une définition de la « chiralité ontologique » en étroite liaison avec l’ontologie du sens.Il chiasma dell’essere: un’esplorazione dell’ontologia del senso merleau-pontianaIl problema dell’ontologia include il problema di come l’essere sia determinato e acquisisca senso, acquisisca cioè gli orientamenti, i significati, tutte quelle differenze che fanno la differenza. Questo saggio esplora il pensiero secondo il quale il senso dell’essere deriva da una ‘chiralità ontologica,’ una sorta di differenza ontologica con caratteristiche affini alle differenze fra le mani destra e sinistra. Il testo illustra in primo luogo come l’ontologia merleau-pontyana della reversibilità porti alle questioni della chiralità. I risultati della ricerca attuale, in chimica, biologia e geometria sono poi discussi per illuminare l’importanza delle differenze chirali e per sviluppare una definizione della chiralità ontologica che si connette ad una ontologia del senso. (shrink)

Le chiasme de l’être: une exploration de l’ontologie du sens de Merleau-PontyLa question de l’ontologie inclut celle de savoir comment un être se détermine et acquiert son sens, autrement dit comment il instaure sa différenciation par desorientations, des significations et des différences en général. Cette étude explore l’idée que le sens d’un être provient d’une « chiralité ontologique », c’est-à-dire d’un type de différence ontologique présentant un apparentement caractéristique de ses deux côtés droit et gauche. L’étude montre tout d’abord comment (...) l’ontologie merleau-pontienne de la réversibilité conduit à la question de la chiralité. On fait ensuite entrer dans la discussion des résultats obtenus dans les domaines de la chimie, de la biologie et de la géométrie, pour mieux mettre en lumière l’importance des différences en chiralité et pour élaborer une définition de la « chiralité ontologique » en étroite liaison avec l’ontologie du sens.Il chiasma dell’essere: un’esplorazione dell’ontologia del senso merleau-pontianaIl problema dell’ontologia include il problema di come l’essere sia determinato e acquisisca senso, acquisisca cioè gli orientamenti, i significati, tutte quelle differenze che fanno la differenza. Questo saggio esplora il pensiero secondo il quale il senso dell’essere deriva da una ‘chiralità ontologica,’ una sorta di differenza ontologica con caratteristiche affini alle differenze fra le mani destra e sinistra. Il testo illustra in primo luogo come l’ontologia merleau-pontyana della reversibilità porti alle questioni della chiralità. I risultati della ricerca attuale, in chimica, biologia e geometria sono poi discussi per illuminare l’importanza delle differenze chirali e per sviluppare una definizione della chiralità ontologica che si connette ad una ontologia del senso. (shrink)

Le chiasme de l’être: une exploration de l’ontologie du sens de Merleau-PontyLa question de l’ontologie inclut celle de savoir comment un être se détermine et acquiert son sens, autrement dit comment il instaure sa différenciation par desorientations, des significations et des différences en général. Cette étude explore l’idée que le sens d’un être provient d’une « chiralité ontologique », c’est-à-dire d’un type de différence ontologique présentant un apparentement caractéristique de ses deux côtés droit et gauche. L’étude montre tout d’abord comment (...) l’ontologie merleau-pontienne de la réversibilité conduit à la question de la chiralité. On fait ensuite entrer dans la discussion des résultats obtenus dans les domaines de la chimie, de la biologie et de la géométrie, pour mieux mettre en lumière l’importance des différences en chiralité et pour élaborer une définition de la « chiralité ontologique » en étroite liaison avec l’ontologie du sens.Il chiasma dell’essere: un’esplorazione dell’ontologia del senso merleau-pontianaIl problema dell’ontologia include il problema di come l’essere sia determinato e acquisisca senso, acquisisca cioè gli orientamenti, i significati, tutte quelle differenze che fanno la differenza. Questo saggio esplora il pensiero secondo il quale il senso dell’essere deriva da una ‘chiralità ontologica,’ una sorta di differenza ontologica con caratteristiche affini alle differenze fra le mani destra e sinistra. Il testo illustra in primo luogo come l’ontologia merleau-pontyana della reversibilità porti alle questioni della chiralità. I risultati della ricerca attuale, in chimica, biologia e geometria sono poi discussi per illuminare l’importanza delle differenze chirali e per sviluppare una definizione della chiralità ontologica che si connette ad una ontologia del senso. (shrink)

In biological electron transport the spin, and thus the magnetic property of electrons, is neglected. Furthermore, no attention is paid to the fact that the great majority of biologically important molecules are chiral, and during excitation a magnetic moment is induced in them. It is shown, both theoretically and experimentally, that the magnetic moment of the electron and the magnetic transition moment of the optically active molecules may interact. The main consequences of such an interaction are a higher probability of (...) the occurrence of optically active molecules in triplet states, and the polarization of transported electrons. (shrink)

The regularization of chiral gauge theories is reviewed from the “overlap” point of riew. This is a brief and biased review containing no references.

Although chemical phenomena are primarily associated with electrons in atoms, ions, and molecules, the masses, charges, spins, and other properties of the nuclei in these species contribute significantly as well. Isotopes, for instance, have proven invaluable in chemistry, in particular the elucidation of reaction mechanisms. Elements with unstable nuclei, for example carbon-14 undergoing beta decay, have enriched chemistry and many other scientific disciplines. The nuclei of all elements have a much more subtle and largely unknown effect on chemical phenomena. All (...) nuclei are innately chiral and, because electrons can penetrate nuclei, all atoms and molecules are likewise chiral. This article describes in considerable detail the discovery of chiral nuclei, how this unusual chirality may influence the chemical behavior of atoms and molecules, and how atomic chirality may have been responsible for the synthesis of optically active molecules in the pre-biotic world. (shrink)

In a rather old paper, Mario Liu described a hydrodynamic Maxwell equations. While he also discussed potential implications of these new approaches to superconductors, such a discussion of electrodynamics of superconductors is made only after Tajmar’s paper. Therefore, in this paper we present for the first time a derivation of fluidic Maxwell-Proca equations. The name of fluidic Maxwell-Proca is proposed because the equations were based on modifying Maxwell-Proca and Hirsch’s theory of electrodynamics of superconductor. It is hoped that this paper (...) may stimulate further investigations and experiments in superconductor. It may be expected to have some impact to cosmology modeling too, for instance we consider a hypothetical argument that photon mass can be origin of gravitation. Then, after combining with the so-called chiral modification of Maxwell equations (after Spröessig), then we consider chiral Maxwell-Proca equations as possible alternative of gravitation theory. Such a hypothesis has never considered in literature to the best of our knowledge. (shrink)

Thetranslation Chern-Simons type three-formcoframe∧torsion on a Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan fourform. Following Chandia and Zanelli, two spaces with nontrivial translational Chern-Simons forms are discussed. We then demonstrate, first within the classical Einstein-Cartan-Dirac theory and second in the quantum heat kernel approach to the Dirac operator, how the Nieh-Yan form surfaces in both contexts, in contrast to what has been assumed previously.

In a new paper in recent issue of this journal (PSTJ), Prof. M. Pitkanen describes a solar system model inspired by spiral galaxies. While we appreciate his new approach, we find it lacks substantial discussion on the nature of vortices and chirality in galaxy. Therefore we submit a viewpoint that Gross-Pitaevskii model can be a more complete description of both solar system and also spiral galaxies, especially taking into account the nature of chirality and vortices in galaxies. In (...) this article, we also hope to bring out some correspondence among existing models, so we discuss shortly: the topological vortice approach, Burgers equation in the light of KAM theory, and the Cantorian Navier-Stokes approach. Of course, this short article is far from being complete. We hope further investigation can be done around this line of approach. Aim of this paper: With this article, we hope to begin a healthy dialogue with Prof. M. Pitkanen, especially on his solar system model, since we also believe that he also support “evidence-based physics.” Limitation: In this paper we only discuss Pitkanen’s solar system model, we don’t discuss his other papers in a recent issue of PSTJ. (shrink)

This paper outlines a new interpretation of an argument of Kant's for the existence of absolute space. The Kant argument, found in a 1768 essay on topology, argues for the existence of Newtonian-Euclidean absolute space on the basis of the existence of incongruous counterparts (such as a left and a right hand, or any asymmetrical object and its mirror-image). The clear, intrinsic difference between a left hand and a right hand, Kant claimed, cannot be understood on a relational view of (...) space - for in terms of the spatial relations of their parts, there is no difference to be found. Kant's argument has been interpreted by, among others, Graham Nerlich (in 1973, Hands, Knees and Absolute Space, The Journal of Philosophy). I briefly discuss Nerlich, and then offer a different reconstruction of the argument, one that appears to be closer to Kant's text. The reconstruction, however, essentially involves ascription of primitive identity to parts of space. Comparing the Kantian absolutist account of incongruous counterparts using primitive identity to the correct relationist account, I conclude that the absolutist account pays a heavy metaphysical price, without buying any genuine explanatory advantage over the relationist. I go on to examine recent suggestions that parity-non-conservation phenomena in quantum physics allow a stronger version of Kant's challenge to relationism. On closer examination, it turns out that here too the absolutist or substantivalist must be appealing to space parts with primitive identity in order to claim an advantage over relationists; and here too, I argue the substantivalist story really has no advantage over the correct relationist account. (shrink)

Medium- and high-spin states of Pr-134 were populated using the Cd-116(Na-23, 5n) reaction and studied with the GAMMASPHERE spectrometer. Several new bands have been found in this nucleus, one of them being linked to the previously observed chiral-candidate twin-band structure. The ground state of Pr-134 could be determined through establishing a level structure that connects the two previously known long-lived isomeric states. Unambiguous spin-parity assignments for the excited states could be performed based on the known 2(-) spin-parity of the ground (...) state combined with the present experimental data. Intrinsic single-particle configurations have been assigned to the newly observed bands on the basis of the measured B(M1)/B(E2) ratios, alignments, band-crossing frequencies, bandhead spins, the observed single-particle configurations in the neighboring nuclei, and taking into account the predictions of total Routhian surface and tilted-axis cranking calculations. (shrink)

Ethical justification for clinical research may invoke equipoise, an element of scientific uncertainty regarding the superior choice if presented with different therapeutic options. Given a relativ...

We describe how the choice of an appropriate (“physical”) gauge leads to the solution of a nonperturbative problem in quantum electrodynamics: dynamical chiral symmetry breaking in QED in a constant magnetic field.

We derive, in path integral approach, the (anomalous) master Ward identity associated with an infinite set of nonlocal conservation laws in two-dimensional principal chiral models.

We give a review of recent progress on the application of the relativistic chiral SU(3) Lagrangian to meson–baryon scattering. It is shown that a combined chiral and 1/Nc expansion of the Bethe–Salpeter interaction kernel leads to a good description of the kaon–nucleon, antikaon–nucleon and pion–nucleon scattering data typically up to laboratory momenta of p lab ≃500 MeV. We solve the covariant coupled channel Bethe–Salpeter equation with the interaction kernel truncated to chiral order Q 3 where we include only those terms (...) which are leading in the large Nc limit of QCD. (shrink)

Life is characterized by a selectivity for asymmetric molecules. A great deal of theoretical and experimental work has yet to explain why living organisms utilize only L‐amino acids in proteins and D‐sugars in RNA and DNA. Also unknown is how a form of life based on asymmetric molecules evolved from an environment containing a racemic mixture of prebiotic molecules. By what mechanism did this selectivity for asymmetric molecules take place?

Fischer’s approach for structure elucidation of linear aldohexoses is still the most widespread alternative in textbooks for carbohydrates. However, in post-Fischer era, a series of remarkable discoveries and inventions were made in different laboratories, and by their use a more comprehensive and coherent strategy for structure elucidation of linear isomeric aldohexoses can be elaborated. Fischer used the exceptional properties of d-mannose for the knowledge of configuration of C-2 and called it the key of the gate to stereochemistry. We bring the (...) evidence that Fischer had an alternative to this monosaccharide, d-idose. Fischer discovered the correct structure of the enantiomers of tartaric acid by pure intuition but Bijvoet proved it experimentally by means of X-rays. Hybridization, a concept taken by L. Pauling from biology, reconciled physics and chemistry concerning the valence of carbon atom and explained the stereochemical picture that had been empirically elaborated by Van’t Hoff and Le Bel. Other chemical transformations of monosaccharides, useful in the elucidation of their structure, have been also discovered or invented in post-Fischer era. (shrink)

In the present paper we address the problem of optical isomerism embodied in the socalled “Hund’s paradox”, which points to the difficulty to account for chirality by means of quantum mechanics. In particular, we explain the answer to the problem proposed by the theory of decoherence. The purpose of this article is to challenge this answer on the basis of a conceptual analysis of the phenomenon of decoherence, that reveals the limitations of the theory of decoherence to solve the (...) difficulties posed by optical isomerism and, in general, by quantum measurement. (shrink)

The selective synthesis and manipulation of chiral molecules is a major part of stereochemistry. Interactions involving components with “handedness” also occur in nuclear and particle physics. Both fields employ phenomenologies based on group theoretical classifications and symmetry constraints such as the conservation or violation of parity. Smale's discovery of a sphere eversion—homotopic to a central inversion—evades the parity dichotomy by allowing states of opposite chirality to be connected by smooth maps. This transformation demonstrates that parity changes can, in principle, (...) result from the action of sufficiently complex processes, and do not necessarily have to be interpreted as violations of a symmetry. (shrink)

Some philosophers have claimed that kinds can be construed as mereologically complex structural properties. This essay examines several strategies aimed at construing a certain class of natural kinds, namely isomeric chemical kinds, in accordance with this view. In particular, the essay examines views which posit structural proper parts in addition to micro-constitutive parts to individuate isomeric chemical kinds. It then goes on to argue that the phenomenon of chirality in stereochemistry gives the proponent of kinds-as-complex-properties evidence for positing the (...) existence of causal-cum-dispositional individuating proper parts, in addition to structural parts, for chemical enantiomeric kinds. (shrink)

We are demonstrating that the Luttinger model with short range interaction can be treated as a type of Fermi liquid. In line with the main dogma of Landau’s theory one can define a fermion excitation renormalized by interaction and show that in terms of these fermions any excited state of the system is described by free particles. The fermions are a mixture of renormalized right and left electrons. The electric charge and chirality of the Landau quasi-particle is discussed.

The topology of DNA duplexes changes during replication and also after deproteinization in vitro. Here we describe these changes and then discuss for the first time how the distribution of superhelical stress affects the DNA topology of replication intermediates, taking into account the progression of replication forks. The high processivity of Topo IV to relax the left‐handed (+) supercoiling that transiently accumulates ahead of the forks is not essential, since DNA gyrase and swiveling of the forks cooperate with Topo IV (...) to accomplish this task in vivo. We conclude that despite Topo IV has a lower processivity to unlink the right‐handed (+) crossings of pre‐catenanes and fully replicated catenanes, this is indeed its main role in vivo. This would explain why in the absence of Topo IV replication goes‐on, but fully replicated sister duplexes remain heavily catenated. (shrink)

In the present paper we address the problem of optical isomerism embodied in the socalled “Hund’s paradox”, which points to the difficulty to account for chirality by means of quantum mechanics. In particular, we explain the answer to the problem proposed by the theory of decoherence. The purpose of this article is to challenge this answer on the basis of a conceptual analysis of the phenomenon of decoherence, that reveals the limitations of the theory of decoherence to solve the (...) difficulties posed by optical isomerism and, in general, by quantum measurement. (shrink)

The role of contingent contexts in formulating relations between properties of systems at different descriptive levels is addressed. Based on the distinction between necessary and sufficient conditions for interlevel relations, a comprehensive classification of such relations is proposed, providing a transparent conceptual framework for discussing particular versions of reduction, emergence, and supervenience. One of these versions, contextual emergence, is demonstrated using two physical examples: molecular structure and chirality, and thermal equilibrium and temperature. The concept of stability is emphasized as (...) a basic guiding principle of contextual property emergence. (shrink)

Supersymmetry (SUSY) has long been considered an exceptionally promising theory. A central role for the promise has been played by naturalness arguments. Yet, given the absence of experimental findings it is questionable whether the promise will ever be fulfilled. Here, I provide an analysis of the promises associated with SUSY, employing a concept of pursuitworthiness. A research program like SUSY is pursuitworthy if (1) it has the plausible potential to provide high epistemic gain and (2) that gain can be achieved (...) with manageable research efforts. Naturalness arguments have been employed to support both conditions (1) and (2). First, SUSY has been motivated by way of analogy: the proposed symmetry between fermions and bosons is supposed to 'protect' the small Higgs mass from large quantum corrections just as the electron mass is protected through the chiral symmetry. Thus, SUSY held the promise of solving a major problem of the Standard Model of particle physics. Second, naturalness arguments have been employed to indicate that such gain is achievable at relatively low cost: SUSY discoveries seemed to be well in reach of upcoming high-energy experiments. While the first part of the naturalness argument may have the right form to facilitate considerations of pursuitworthiness, the second part of the argument has been problematically overstated. (shrink)

General Relativity offers the possibility to model attributes of matter, like mass, momentum, angular momentum, spin, chirality etc. from pure space, endowed only with a single field that represents its Riemannian geometry. I review this picture of ‘Geometrodynamics’ and comment on various developments after Einstein.

The classical model of the molecule assumes that it has a definite shape and structure like a mechanical object in the world of possible experience. This study deals with this assumption so as to shed some light on the foundations of the model. Arguments based on Kant’s theory of transcendental idealism suggest that neither shape nor structure are attributes of the molecule, but are rather contributions of the subject. This claim has great relevance to the questions of whether or not (...) a quantum treatment of the molecule can derive structure without recourse to any approximation, and the possible existence of emergence and downward causation. The answer to the first question is in the negative, and to the second is that agnosticism is the only possible attitude to have toward this problem. We are creatures who can only imagine what is going on by observing phenomena. All that is accessible to us is the modal structure of the model. The causal structure of the real system is not. From the same point of view and taking the concept of the affordance into account, the adequacy of the concept of molecular structure will be argued. The point is to specify what objects the concept can legitimately be applied to. Also briefly discussed in relation to shape and structure is the idea that molecular chirality might be a probe to reveal the nature of space. (shrink)

The coupled Dyson-Schwinger equations for the gluon and ghost propagators in QCD are shown to have solutions that correspond to a unique running coupling that has a nite infrared xed point and the expected logarithmic decrease in the ultraviolet. The infrared coupling is large enough to support chiral symmetry breaking and quarks are not con ned, but they cannot be isolated.

Long since, people tried to solve the mystery of the way that led to the appearance and propagation of living entities. However, no harmonious understanding of this mystery existed, because neither the scientifically grounded source minerals nor the ambient conditions were proposed and because it was groundlessly taken that the process of living matter origination is endothermal. The Life Origination Hydrate Theory (LOH-Theory) first suggests the chemical way capable of leading from the specified abundant natural minerals to origination of multitudes (...) of multitudes of simplest living entities and gives an original explanation for the phenomena of chirality and racemization delay. The LOH-Theory covers the period up to origination of the genetic code. The LOH-Theory is grounded on the following three discoveries based on the available information and on the results of our experimental works performed using original instrumentation and computer simulations. (1) There is the only one triad of natural minerals applicable for exothermal thermodynamically possible chemical syntheses of simplest living-matter components. (2) N-base, ribose, and phosphdiester radicals and nucleic acids as whole are size-compatible with structural gas-hydrate cavities. (3) The gas-hydrate structure arises around amido-groups in cooled undisturbed systems consisting of water and highly-concentrated functional polymers with amido-groups.The natural conditions and historic periods favorable for simplest living matter origination are revealed. The LOH-Theory is supported by results of observations, biophysical and biochemical experiments, and wide application of original three-dimensional and two-dimensional computer simulations of biochemical structures within gas-hydrate matrix. The instrumentation and procedures for experimental verification of the LOH-Theory are suggested. If future experiments are successful, they, possibly, could be the first step on the way to industrial synthesis of food from minerals, i.e., to execution of the work that is performed by plants. (shrink)

We extended the Barut’s classical model of zitterbewegung from 3+1 dimensional spacetime into 2+1 and 1+1 dimensional spacetimes and discussed the symmetry and integrability properties of the model in 2+1, 1+1 and 3+1 dimensions. In these cases, the free particle current or the velocity of the particle can be decomposed as a constant convection current and polarization currents.In 2+1 dimensional spacetime, a velocity of the particle and spin tensor are dependent to each other and the chirality can not be (...) introduced. The free particle has 7 constants of motion: The momentum three vector, the charge, the energy in proper time, the scalar constant spin or magnetic polarization and the two components of total angular momentum. Two component electric polarizations oscillate with Zitterbewegung frequency.In 1+1 dimensional spacetime we have an independent velocity vector and a scalar spin tensor. The free particle has 5 integrals of motion: The momentum two vector, the charge, the energy in proper time, and the scalar total angular momentum. The normal component of the velocity or the scalar electric polarization oscillates with Zitterbewegung frequency.In 3+1 dimensional spacetime, the particle has an independent velocity vector, spin tensor and chirality. The free particle has 12 integrals of motion: The momentum four vector, the charge, the energy in proper time or mass, the three vector spin or magnetic polarizations and three components of total angular momentum. The parallel component of velocity into momentum and the normal components of the spin tensor or the spin three vector are constants of motion for the free particle. The chirality and electric polarizations oscillate with the Zitterbewegung frequency. The system is superintegrable in all dimensions. (shrink)

1. Introduction Dirac's theory of the electron was the first widely accepted relativistic quantum theory, and it later provided the basis for constructing the modern electromagnetic theory of quantum electrodynamics. Whereas Dirac's theory in its simplest form describes relativistic freely-propagating massive non-chiral particles of spin-½, QED describes how such particles interact with one another electromagnetically, via a dynamical quantum field.

A mechanism for the generation of the morphological left‐right asymmetry in higher organisms is proposed, based on the idea that chirality at the molecular level is the primordial source for macroscopic asymmetry. This mechanism accounts for a variety of experimental results on artificial production of situs inversus and fits well with mutations in mice causing visceral transposition.

We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi’s “golden rule”. This Gedankenexperiment introduces a collection of two-level systems that absorb and emit radiation randomly through non-reciprocal coupling to a waveguide, as realized in specific chiral quantum optical systems. The non-reciprocal coupling is modeled by a hermitean Hamiltonian and is compatible with the time-reversal invariance of unitary quantum dynamics. Surprisingly, the combination of non-reciprocity (...) with probabilistic radiation processes entails negative entropy production. Although the considered system appears to fulfill all conditions for Markovian stochastic dynamics, such a dynamics violates the Clausius inequality, a formulation of the second law of thermodynamics. Several implications concerning the interpretation of the quantum mechanical formalism are discussed. (shrink)

The first volume of the Brandeis University Summer Institute lecture series of 1970 on theories of interacting elementary particles, consisting of four sets of lectures. Every summer since 1959 Brandeis University has conducted a lecture series centered on various areas of theoretical physics. The areas are sufficiently broad to interest a large number of physicists and the lecturers are among the original explorers of these areas. The 1970 lectures, presented in two volumes, are on theories of interacting elementary particles. The (...) four lecturers of Volume 1, and the range of the topics they cover, are as follows: Stephen L. Adler on "Perturbation Theory Anomalies": introduction and review of perturbation theory; the VVA triangle anomaly; absence of radiative corrections; generalizations of our results; connection between Ward identity anomalies and commutator anomalies; applications of the Bjorken limit; and breakdown of the Bjorken limit in perturbation theory. Stanley Mandelstam on "Dynamical Applications of the Veneziano formula for the four-point scalar amplitude; factorization; the operator formalism; Veneziano-type quark models; and higher-order Feynman-like diagrams. Steven Weinberg on "Dynamic and Algebraic Symmetries": Introduction; hadron electrodynamics; local symmetries; and chirality. Wolfhart Zimmermann on "Local Operator Products and Renormalization in Quantum Field Theory": introduction; renormalization; operator product expansions; and local field equations. The second volume contains lectures by Rudolf Haag on observables and fields, by Maurice Jacob on duality, by Michael Reed on non-Fock representations, and by Bruno Zumino on effective Lagrangians and broken symmetries. (shrink)

A massless electroweak theory for leptons is formulated in a Weyl space, W4, yielding a Weyl invariant dynamics of a scalar field φ, chiral Dirac fermion fields ψL and ψR, and the gauge fields κμ, Aμ, Zμ, Wμ, and Wμ †, allowing for conformal rescalings of the metric gμν and all fields with nonvanishing Weyl weight together with the corresponding transformations of the Weyl vector fields, κμ, representing the D(1) or dilatation gauge fields. The local group structure of this Weyl (...) electroweak (WEW) theory is given by $G = SO(3,1) \otimes D(1) \otimes \tilde G$ —or its universal coverging group $\bar G$ for the fermions—with $\tilde G$ denoting the electroweak gauge group SU(2)W × U(1)Y. In order to investigate the appearance of nonzero masses in the theory the Weyl symmetry is explicitly broken by a term in the Lagrangean constructed with the curvature scalar R of the W4 and a mass term for the scalar field. Thereby also the Zμ and Wμ gauge fields as well as the charged fermion field (electron) acquire a mass as in the standard electroweak theory. The symmetry breaking is governed by the relation D μ Φ 2 = 0, where Φ is the modulus of the scalar field and Dμ denotes the Weyl-covariant derivative. This true symmetry reduction, establishing a scale of length in the theory by breaking the D(1) gauge symmetry, is compared to the so-called spontaneous symmetry breaking in the standard electroweak theory, which is, actually, the choice of a particular (nonlinear ) gauge obtained by adopting an origin, ${\hat \phi }$ , in the coset space representing ϕ, with ${\hat \phi }$ being invariant under the electromagnetic, gauge group U(1)e.m.. Particular attention is devoted to the appearance of Einstein's equations for the metric after the Weyl symmetry breaking, yielding a pseudo-Riemannian space, V4, from a W4 and a scalar field with a constant modulus $\hat \phi _0$ . The quantity $\hat \phi _0^2$ affects Einstein's gravitational constant in a manner comparable to the Brans-Dicke theory. The consequences of the broken WEW theory are worked out and the determination of the parameters of the theory is discussed. (shrink)

This is a digest of how various researchers in biology and astrobiology have explored questions of what defines living organisms—definitions based on functions or structures observed in organisms, or on systems terms, or on mathematical conceptions like closure, chirality, quantum mechanics and thermodynamics, or on biosemiotics, or on Darwinian evolution—to clarify the field and make it easier for endeavors in artificial intelligence to make progress. Current ideas are described to promote work between astrobiologists and computer scientists, each concerned with (...) living organisms. A four-parameter framework is presented as a scaffold that is later developed into what machines lack to be considered alive: systems, evolution, energy and consciousness, and includes Jagers operators and the idea of dual closure. A novel definition of consciousness is developed which describes mental objects both with and without communicable properties, and this helps to clarify how consciousness in machines may be studied as an emergent process related to choice functions in systems. A perspective on how quantization, acting on nucleic acids, sets up natural limits to system behavior is offered as a partial address to the problem of biogenesis. (shrink)

The crossing property is perhaps the most subtle aspect of the particle-field relation. Although it is not difficult to state its content in terms of certain analytic properties relating different matrixelements of the S-matrix or formfactors, its relation to the localization- and positive energy spectral principles requires a level of insight into the inner workings of QFT which goes beyond anything which can be found in typical textbooks on QFT. This paper presents a recent account based on new ideas derived (...) from “modular localization” including a mathematic appendix on this subject. Its main achievement is the proof of the crossing property from a two-algebra generalization of the KMS condition.The main content is an in-depth criticism of the dual model and its string theoretic extension. The conceptual flaws of these models are closely related to misunderstandings of crossing. The correct interpretation of string theory is that of a dynamic infinite component one particle space where “dynamic” means that, unlike a mere collection of independent free fields, the formalism contains also operators which communicate between the different irreducible Poincaré representations and set the mass/spin spectrum. Whereas in pre-string times there were unsuccessful attempts to achieve this in analogy to the O(4,2) hydrogen spectrum by the use of higher noncompact groups, the superstring in d=9+1, which uses instead (bosonic/fermionic) oscillators obtained from multicomponent chiral currents, is the only known solution of the dynamical infinite component pointlike field (or pointlike generated wave function) project. (shrink)

Relativistic mean field theory with mesons σ, ω, π and ρ mediating interactions and nucleons as basic fermions has been very successful in describing nuclear matter and finite nuclei. However, in heavy-ion collisions, where the c. m. energy of two colliding nucleons will be in the hundreds of GeV region, nucleons are not expected to behave as point-like particles. Analyses of elastic pp and ¯pp scattering data in the relevant c. m. energy range show that the nucleon is a composite (...) object—a topological soliton or Skyrmion embedded in a condensed quark-antiquark ground state. Against this backdrop, we formulate an effective field theory model of nuclear matter based on the gauged linear σ-model where quarks are the basic fermions, but the mesons still mediate the interactions. The model describes the nucleon as a Skyrmion and produces a q¯q ground state analogous to a superconducting ground state. Quarks are quasi-particles in this ground state. When the temperature exceeds a critical value, the scalar field in the ground state vanishes, quarks become massless, and a chiral phase transition occurs leading to chiral symmetry restoration. We explore the possibility of a first order phase transition in this model by introducing suitable self-interactions of the scalar field. Internal structures of the Skyrmions are ignored, and they are treated as point-like fermions. (shrink)

The nonlinear σ-model with vector mesons introduced as gauge bosons and an interacting chiral quark sector depicts the nucleon as a topological soliton embedded in a chiral condensate. High-energy elastic pp and ¯pp scattering data from CERN ISR and SPS Collider appear to provide strong evidence in favor of this nucleon structure.